What is the Least Common Multiple of 66320 and 66339?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 66320 and 66339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66320 and 66339, than apply into the LCM equation.

GCF(66320,66339) = 1
LCM(66320,66339) = ( 66320 × 66339) / 1
LCM(66320,66339) = 4399602480 / 1
LCM(66320,66339) = 4399602480

Least Common Multiple (LCM) of 66320 and 66339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66320 and 66339. First we will calculate the prime factors of 66320 and 66339.

Prime Factorization of 66320

Prime Factorization of 66339

Now multiplying the highest exponent prime factors to calculate the LCM of 66320 and 66339.

LCM(66320,66339) = 2⁴ × 5¹ × 829¹ × 3⁶ × 7¹ × 13¹
LCM(66320,66339) = 4399602480